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Finding the Fourth Proportional to 82,384.58, 123,586.48 and 29,818.82

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Solution

The fourth proportional to 82,384.58, 123,586.48 and 29,818.82 is: 44,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,384.58 : 123,586.48 = 29,818.82 : x
  2. Step 2: Convert to fraction form
    82,384.58/123,586.48 = 29,818.82/x
  3. Step 3: Cross multiply
    82,384.58x = 123,586.48 × 29,818.82
  4. Step 4: Simplify right side
    82,384.58x = 3,685,203,001.55
  5. Step 5: Solve for x
    x = 3,685,203,001.55/82,384.58
  6. Step 6: Final answer
    x = 44,731.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.